the
w3resource

Python Math: Convert a floating point number to an approximate rational value

Python Math: Exercise-47 with Solution

Write a Python program to convert a floating point number (PI) to an approximate rational value on the various denominator.

Note: max_denominator = 1000000

Sample Solution:-

Python Code:

import fractions
import math

print('PI       =', math.pi)

f_pi = fractions.Fraction(str(math.pi))
print('No limit =', f_pi)

for d in [1, 5,  50, 90, 100, 500, 1000000]:
    limited = f_pi.limit_denominator(d)
    print('{0:8} = {1}'.format(d, limited))

Sample Output:

PI       = 3.141592653589793                                                                                
No limit = 3141592653589793/1000000000000000                                                                
       1 = 3                                                                                                
       5 = 16/5                                                                                             
      50 = 22/7                                                                                             
      90 = 267/85                                                                                           
     100 = 311/99                                                                                           
     500 = 355/113                                                                                          
 1000000 = 3126535/995207
 

Flowchart:

Flowchart: Convert a floating point number to an approximate rational value

Python Code Editor:

Have another way to solve this solution? Contribute your code (and comments) through Disqus.

Previous: Write a Python program to add, subtract, multiply and divide two fractions.
Next: Write a Python program to generate random float numbers in a specific numerical range.

What is the difficulty level of this exercise?

Test your Python skills with w3resource's quiz



Python: Tips of the Day

Python: Get the Key Whose Value Is Maximal in a Dictionary

>>> model_scores = {'model_a': 100, 'model_z': 198, 'model_t': 150}
>>> # workaround
>>> keys, values = list(model_scores.keys()), list(model_scores.values())
>>> keys[values.index(max(values))]
'model_z'
>>> # one-line
>>> max(model_scores, key=model_scores.get)
'model_z'